A new source coding problem is considered for a one-way communication system with correlated source outputs

. One of the source outputs, i.e.,

, must be transmitted to the receiver within a prescribed distortion tolerance as in ordinary source coding. On the other hand, the other source output, i.e.,

, has to be kept as secret as possible from the receiver or wiretappers. For this case the equivocation-distortion function

and the rate-distortion-equivocation function

are defined and evaluated. The former is the maximum achievable equivocation of

under the distortion tolerance

for

, and the latter is the minimum rate necessary to attain both the equivocation tolerance

for

and the distortion tolerance

for

. Some examples are included.